Fig. 2: Kinetic energy spectrum in quantum and classical turbulence.
From: Vortex clustering, polarisation and circulation intermittency in classical and quantum turbulence
Spectra are obtained from simulations of the generalised Gross–Pitaevskii (GP) model and the incompressible Navier–Stokes (NS) equations. Wave numbers k are, respectively, normalised by the mean inter-vortex distance ℓ and by the Taylor micro-scale λ, while the vertical axis is in arbitrary units. In the GP case, the incompressible part of the kinetic energy is plotted63. Also shown are the energy spectra obtained after applying the vortex detection procedure to the GP fields (see “Methods” for details), both before and after the randomisation of the vortex orientations (turbulent and disordered cases, respectively). Dashed and dash-dotted lines, respectively, represent the Kolmogorov scaling k−5/3 and the disordered scaling k−1. Source data are provided as a Source Data file.
